Quantitative Aptitude - Arithmetic Ability Questions

Q:

The length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm is

A) 10 cm B) 5 cm
C) 6 cm D) 12 cm
 
Answer & Explanation Answer: A) 10 cm

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Q:

Triangle DEF is right angled at E. If cot D = 5/12, then what is the value of sin F?

A) 5/12 B) 13/5
C) 5/13 D) 13/12
 
Answer & Explanation Answer: C) 5/13

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Q:

What should be added to 3(x­ - 2y) to obtain 2(3x + y) -­ 5(2x + 3)?

A) 8y -­ 7x ­- 15 B) 8y -­ 7x + 15
C) 8y + 7x + 15 D) 8y + 7x -­ 15
 
Answer & Explanation Answer: A) 8y -­ 7x ­- 15

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Q:

AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.

A) 10 B) 12
C) 13 D) 15
 
Answer & Explanation Answer: B) 12

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Filed Under: Volume and Surface Area
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Q:

In a cyclic quadrilateral ABCD , the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47° , then the value of ∠BDC is

A) 40° B) 35°
C) 30° D) 25°
 
Answer & Explanation Answer: B) 35°

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Q:

Length of the sides of a triangle are a, b, c respectively. If a2 + b2 + c2 = ab +bc + ca then the triangle is

A) isosceles B) equilateral
C) scalene D) right­-angled
 
Answer & Explanation Answer: B) equilateral

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Q:

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : √3 = 1.732)

A) 34.64 B) 51.96
C) 69.28 D) 103.92
 
Answer & Explanation Answer: D) 103.92

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Filed Under: Time and Distance
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Q:

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC= (x – 2) cm, then what is the value (in cm) of x?

A) 3 B) 3.5
C) 4 D) 4.5
 
Answer & Explanation Answer: D) 4.5

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